MATH SOLVE

4 months ago

Q:
# Complete the equation of the line through (-8,8) and (1,-10). Use exact numbers.

Accepted Solution

A:

Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:

y = mx + b

-10 = m(1) + b

m + b = -10

b = -10 - m

Now that we have a value for b, we can plug this into the other equation:

8 = m(-8) + b

8 = -8m + (-10 - m)

8 = -9m -10

18 = -9m

m = -2

Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:

b = -10 - m

b = -10 -(-2)

b = -10 + 2

b = -8

Our final equation is y = -2x - 8

y = mx + b

-10 = m(1) + b

m + b = -10

b = -10 - m

Now that we have a value for b, we can plug this into the other equation:

8 = m(-8) + b

8 = -8m + (-10 - m)

8 = -9m -10

18 = -9m

m = -2

Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:

b = -10 - m

b = -10 -(-2)

b = -10 + 2

b = -8

Our final equation is y = -2x - 8